Using the limit definition of the derivative, determine if the function f defined below is differentiable at t = 3: f(t) = 3, 2t-6, vt-3, t>3 t≤1 1

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Using the limit definition of the derivative, determine if the function f defined below
is differentiable at t = 3:
f(t) =
3,
2t - 6,
/t-3,
t≤1
1 < t <3
t>3
Transcribed Image Text:Using the limit definition of the derivative, determine if the function f defined below is differentiable at t = 3: f(t) = 3, 2t - 6, /t-3, t≤1 1 < t <3 t>3
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